Atkin-Lehner |
2- 3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
97812o |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-16732894464 = -1 · 28 · 37 · 112 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2271,42118] |
[a1,a2,a3,a4,a6] |
Generators |
[47:198:1] |
Generators of the group modulo torsion |
j |
-6940769488/89661 |
j-invariant |
L |
7.6658907388167 |
L(r)(E,1)/r! |
Ω |
1.2391316640897 |
Real period |
R |
0.51554184771981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32604c1 |
Quadratic twists by: -3 |